On cyclicity in discontinuous piecewise linear near-Hamiltonian differential systems with three zones having a saddle in the central one

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Euzébio, R., Gouveia, M., Novaes, D., Pessoa, C., Ribeiro, R.
Format:	Preprint
Veröffentlicht:	2022
Schlagworte:	Dynamical Systems
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

Crossing limit cycles of discontinuous piecewise differential systems with nilpotent saddles separated by a nonregular line
von: Alva, Sonia Isabel Renteria, et al.
Veröffentlicht: (2026)

Crossing limit cycles of discontinuous piecewise differential systems with Pleshkan's isochronous centers
von: Alva, Sonia Isabel Renteria, et al.
Veröffentlicht: (2026)

Abundance of weird quasiperiodic attractors in piecewise linear discontinuous maps
von: Gardini, Laura, et al.
Veröffentlicht: (2025)

Continuity of the natural dimension of piecewise linear iterated function systems
von: Prokaj, R. D., et al.
Veröffentlicht: (2024)

Bounding the number of limit cycles in piecewise linear differential systems: methodology and worked examples
von: Carmona, Victoriano, et al.
Veröffentlicht: (2025)

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles
von: Chen, Lu, et al.
Veröffentlicht: (2025)

Non-isochronicity on piecewise Hamiltonian differential systems with homogeneous nonlinearities
von: Chen, Xiaoyi, et al.
Veröffentlicht: (2024)

Limit cycles of piecewise smooth differential systems with nilpotent center and linear saddle
von: Phatangare, Nanasaheb, et al.
Veröffentlicht: (2024)

Slow passage through a transcritical bifurcation in piecewise linear differential systems: canard explosion and enhanced delay
von: Pérez-Cervera, Alberto, et al.
Veröffentlicht: (2023)

Crossing limit cycles in piecewise smooth Kolmogorov systems: an application to Palomba's model
von: Carvalho, Yagor Romano, et al.
Veröffentlicht: (2024)

Bifurcations of limit cycles in piecewise smooth Hamiltonian system with boundary perturbation
von: Phatangare, Nanasaheb, et al.
Veröffentlicht: (2019)

Phase portraits for quadratic systems possessing an infinite elliptic-saddle or an infinite nilpotent saddle
von: Artés, Joan C., et al.
Veröffentlicht: (2023)

The cyclicity of period annulus of cubic isochronous Hamiltonian systems
von: Yang, Jihua
Veröffentlicht: (2025)

Model order reduction of piecewise linear mechanical systems using invariant cones
von: Karoui, A. Yassine, et al.
Veröffentlicht: (2026)

Extended invariant cones as Nonlinear Normal Modes of inhomogeneous piecewise linear systems
von: Karoui, A. Yassine, et al.
Veröffentlicht: (2024)

From two-dimensional continuous maps to one-dimensional discontinuous maps: a novel reduction explaining complex bifurcation structures in piecewise-linear families of maps
von: Simpson, D. J. W., et al.
Veröffentlicht: (2025)

A proof that all the sliding trajectories of generic inelastic piecewise linear dynamical systems over the torus are closed
von: Caldas, Mayara D. A., et al.
Veröffentlicht: (2025)

Self-excited oscillations in multi-degree-of-freedom systems subjected to discontinuous forcing
von: Choudhury, Arunav, et al.
Veröffentlicht: (2026)

Upper bound of the number of limit cycles for symmetric scalar piecewise linear differential equations with three zones
von: Bravo, J. L., et al.
Veröffentlicht: (2025)

The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps
von: Ghosh, Indranil, et al.
Veröffentlicht: (2024)

Dynamics of 1D discontinuous maps with multiple partitions and linear functions having the same fixed point. An application to financial market modeling
von: Gardini, Laura, et al.
Veröffentlicht: (2025)

Limit cycles bifurcating from periodic integral manifold in non-smooth differential systems
von: Cespedes, Oscar A. R., et al.
Veröffentlicht: (2024)

On linear response for discontinuous perturbations of smooth endomorphisms
von: Canestrari, Giovanni
Veröffentlicht: (2024)

Limit cycles of piecewise smooth differential systems of the type nonlinear center and saddle
von: Phatangare, Nanasaheb, et al.
Veröffentlicht: (2024)

Families of moment matching based, structure preserving approximations for linear port Hamiltonian systems
von: Ionescu, Tudor C., et al.
Veröffentlicht: (2013)

A KAM theorem of symplectic algorithms for nearly integrabel Hamiltonian systems
von: Shang, Zaijiu, et al.
Veröffentlicht: (2024)

Invariant tori via higher order averaging method: existence, regularity, convergence, stability, and dynamics
von: Novaes, Douglas D., et al.
Veröffentlicht: (2023)

The entropic central limit theorem for stochastic integrable Hamiltonian systems
von: Wang, Chen, et al.
Veröffentlicht: (2025)

Existence and uniqueness of Remotely Almost Periodic solutions of differential equations with piecewise constant argument
von: Jaure, Diego, et al.
Veröffentlicht: (2026)

Nonsmooth bifurcations in families of one-dimensional piecewise-linear quasiperiodically forced maps
von: Martinez-Vergara, Rafael, et al.
Veröffentlicht: (2025)

Rigidity of saddle loops
von: Panazzolo, Daniel, et al.
Veröffentlicht: (2021)

The elliptical invariant tori of nearly integrable Hamiltonian system through symplectic algorithms
von: Shang, Zaijiu, et al.
Veröffentlicht: (2024)

The central limit theorems for integrable Hamiltonian systems perturbed by white noise
von: Wang, Chen, et al.
Veröffentlicht: (2024)

A Melnikov analysis on a family of second order discontinuous differential equations
von: Novaes, Douglas D., et al.
Veröffentlicht: (2023)

On a stable torus in a 3D system with a saddle-focus
von: Shilnikov, Andrey L. Shilnikov answered Leonid P.
Veröffentlicht: (2026)

Combinatorics of linear stability for Hamiltonian systems in arbitrary dimension
von: Moreno, Agustin, et al.
Veröffentlicht: (2023)

Classifications and bifurcations of tangent points and their loops of planar piecewise-smooth systems
von: Fang, Zhihao, et al.
Veröffentlicht: (2024)

Normal forms of piecewise-smooth systems with a monodromic singular point
von: Li, Jiahao, et al.
Veröffentlicht: (2025)

Data-driven model order reduction for structures with piecewise linear nonlinearity using dynamic mode decomposition
von: Saito, Akira, et al.
Veröffentlicht: (2026)

On novel Hamiltonian descriptions of some three-dimensional non-conservative systems
von: Ghosh, Aritra, et al.
Veröffentlicht: (2025)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
language	"de"
VUFIND_SESSION	"a57ee538bd6831b526703d4b3ba40c0c"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790896949.3443 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "a57ee538bd6831b526703d4b3ba40c0c" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"language=de; VUFIND_SESSION=a57ee538bd6831b526703d4b3ba40c0c; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"57307"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2212_00828/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2212_00828/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790896949.3334
REQUEST_TIME	1790896949

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler