Cover Image

Cusp bifurcations: numerical detection via two-parameter continuation and computer-assisted proofs of existence

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Lessard, Jean-Philippe, Pugliese, Alessandro
Format:	Preprint
Published:	2024
Subjects:	Dynamical Systems 65P30, 65G40, 34C23, 37M20, 37G99
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Continuation and bifurcations of periodic orbits and symbolic dynamics in the Swift-Hohenberg equation
by: Czwórnóg, Jakub, et al.
Published: (2024)

From heteroclinic loops to homoclinic snaking in reversible systems: rigorous forcing through computer-assisted proofs
by: Berg, Jan Bouwe van den, et al.
Published: (2025)

Equations with infinite delay: pseudospectral discretization for numerical stability and bifurcation in an abstract framework
by: Scarabel, Francesca, et al.
Published: (2023)

LDMD with Temporally Adaptive Segmentation
by: Li, Qiuqi, et al.
Published: (2025)

Extracting coherent sets in aperiodically driven flows from generators of Mather semigroups
by: Chemnitz, Robin, et al.
Published: (2024)

Disconnected large bifurcation supports and Cartesian products of bifurcations
by: Bakiev, Timur, et al.
Published: (2025)

A data driven Koopman-Schur decomposition for computational analysis of nonlinear dynamics
by: Drmač, Zlatko, et al.
Published: (2023)

A bifurcation analysis on a nonlocal overdetermined problem
by: Sato, Kazuki, et al.
Published: (2024)

Rigorous computation of expansion in one-dimensional dynamics
by: Pilarczyk, Paweł, et al.
Published: (2025)

An algorithm to detect and rigorously verify blenders
by: Hammerlindl, Andy, et al.
Published: (2026)

Localized Dynamic Mode Decomposition with Temporally Adaptive Segmentation
by: Li, Qiuqi, et al.
Published: (2025)

New Theorem on Chaos Transitions in Second-Order Dynamical Systems with Tikhonov Regularization
by: Alvarez, Illych
Published: (2024)

Diophantine "Tears of the Heart"
by: Ilyashenko, Yulij, et al.
Published: (2026)

Preserving Bifurcations through Moment Closures
by: Kuehn, Christian, et al.
Published: (2023)

The Collatz Conjecture & Non-Archimedean Spectral Theory: Part I -- Arithmetic Dynamical Systems and Non-Archimedean Value Distribution Theory
by: Siegel, Maxwell Charles
Published: (2020)

A pseudospectral approach to rigorous numerical estimation of Ruelle resonances of transfer operators
by: Blumenthal, Alex, et al.
Published: (2025)

Sharkovskii theorem for infinite dimensional dynamical systems
by: Gierzkiewicz, Anna, et al.
Published: (2024)

Slow Invariant Manifolds of Singularly Perturbed Systems via Physics-Informed Machine Learning
by: Patsatzis, Dimitrios G., et al.
Published: (2023)

Adjoint of Least Squares Shadowing: Existence, Uniqueness and Coarse Domain Discretization
by: Thakur, Pranshul, et al.
Published: (2025)

Mean Values at Hopf Points and Oscillation-Induced Gain Modulation
by: Nesse, William Harold, et al.
Published: (2025)

Algorithm for rigorous integration of Delay Differential Equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation
by: Szczelina, Robert, et al.
Published: (2016)

Rigorous enclosure of Lyapunov exponents of stochastic flows
by: Breden, Maxime, et al.
Published: (2024)

Some contributions on Melnikov chaos for smooth and piecewise-smooth planar systems: "trajectories chaotic in the future"
by: Calamai, Alessandro, et al.
Published: (2025)

Carleman-Fourier linearization of nonlinear real dynamical systems with quasi-periodic fields
by: Motee, Nader, et al.
Published: (2025)

Saddle Transport and Chaos in the Double Pendulum
by: Kaheman, Kadierdan, et al.
Published: (2022)

Exact solution structures on some nonlocal overdetermined problems
by: Sato, Kazuki, et al.
Published: (2025)

Approximating reproduction numbers: a general numerical method for age-structured models
by: De Reggi, Simone, et al.
Published: (2023)

A Practical Guide to Rigorously Locate Periodic Orbits in Discrete Dynamics
by: Mozo, Lucía Alonso, et al.
Published: (2025)

Analytic weak-stable manifolds in unfoldings of saddle-nodes
by: Kristiansen, Kristian Uldall, et al.
Published: (2024)

A stabilized march approach to adjoint-based sensitivity analysis of chaotic flows
by: Thakur, Pranshul, et al.
Published: (2025)

A new construction for Melnikov chaos in piecewise-smooth planar systems
by: Calamai, Alessandro, et al.
Published: (2025)

Topological-numerical analysis of global dynamics in the discrete-time two-gene Andrecut-Kauffman model
by: Falęcki, Dorian, et al.
Published: (2026)

New Numerical Invariants of an Unfolding of a Polycycle "Tears of the Heart"
by: Ilyashenko, Yulij, et al.
Published: (2025)

Contribution of the 2021 COVID-19 Vaccination Regime to COVID-19 Transmission and Control in South Africa: A Mathematical Modeling Perspective
by: Tegegn, Tesfalem Abate, et al.
Published: (2023)

Decompositions and coalescing eigenvalues of symmetric definite pencils depending on parameters
by: Dieci, Luca, et al.
Published: (2021)

Bistability and chaos in the discrete two-gene Andrecut-Kauffman model
by: Rosman, Mikołaj, et al.
Published: (2024)

Investigating Ocean Circulation Dynamics Through Data Assimilation: A Mathematical Study Using the Stommel Box Model with Rapid Oscillatory Forcings
by: Smith, Nathaniel, et al.
Published: (2024)

Global analysis of regulatory network dynamics: equilibria and saddle-node bifurcations
by: Kepley, Shane, et al.
Published: (2022)

Data-driven discovery of polynomial ODEs with provably bounded solutions
by: Alcalde, Albert, et al.
Published: (2026)

Geometric analysis of a truncated Galerkin discretization of fast-slow PDEs with transcritical singularities
by: Engel, Maximilian, et al.
Published: (2020)