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Main Authors:	Church, Kevin E. M., Dai, Jia-Yuan, Hénot, Olivier, Lappicy, Phillipo, Vassena, Nicola
Format:	Preprint
Published:	2025
Subjects:	Dynamical Systems
Online Access:	https://arxiv.org/abs/2504.03058
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Hybrid Bifurcations: Periodicity from Eliminating a Line of Equilibria
by: López-Nieto, Alejandro, et al.
Published: (2023)

Oscillatory spacelike singularities: The Bianchi type $\mathrm{VI}_{-1/9}$ vacuum models
by: Lappicy, Phillipo, et al.
Published: (2024)

Computer-Assisted Proofs in Dynamical Systems: A Case Study of a Heteroclinic Orbit in the Shimizu--Morioka System
by: Hénot, Olivier, et al.
Published: (2026)

On bifurcation from infinity: a compactification approach
by: Arrieta, José M., et al.
Published: (2024)

The Bianchi IX Attractor in Modified Gravity
by: Beatriz, Ester, et al.
Published: (2026)

Mass action systems: two criteria for Hopf bifurcation without Hurwitz
by: Vassena, Nicola
Published: (2024)

Continuation of Periodic Orbits in Conservative Hybrid Dynamical Systems and its Application to Mechanical Systems with Impulsive Dynamics
by: Raff, Maximilian, et al.
Published: (2024)

From the Lagrange Triangle to the Figure Eight Choreography: Proof of Marchal's Conjecture
by: Calleja, Renato, et al.
Published: (2024)

Mathematical modeling and analysis of the Notch-Delta pathway
by: Stevens, Angela, et al.
Published: (2026)

Computing Chaotic Time-Averages from Few Periodic or Non-Periodic Orbits
by: Pughe-Sanford, Joshua L., et al.
Published: (2023)

On-Manifold Low-Thrust Rephasing of Quasi-Periodic Orbits
by: Down, Ian M., et al.
Published: (2025)

Twist Coefficients of Periodic Orbits of Minkowski Billiards
by: Villanueva, Carlos, et al.
Published: (2024)

Finding bifurcations in mathematical epidemiology via reaction network methods
by: Vassena, Nicola, et al.
Published: (2024)

Designable Dynamical Systems for the Generalized Landau Scenario and the Nonlinear Complexification of Periodic Orbits
by: Herrero, R., et al.
Published: (2021)

Unstable Cores are the source of instability in chemical reaction networks
by: Vassena, Nicola, et al.
Published: (2023)

A Method to Estimate a Neighborhood of a Periodic Orbit
by: Cavani, Mario
Published: (2025)

On the Periodic Orbits of the Dual Logarithmic Derivative Operator
by: Yu, Xiaohang, et al.
Published: (2025)

Data-Driven Stabilisation of Unstable Periodic Orbits of the Three-Body Problem
by: Brook, Owen M., et al.
Published: (2025)

Spectral Rigidity and Geometric Localization of Hopf Bifurcations in Planar Predator-Prey Systems
by: Chan-López, E., et al.
Published: (2026)

Bifurcation Analysis of Predator-Prey System using Conformable Fractional Order Discretization
by: Rafaqat, Muhammad, et al.
Published: (2025)

On Sets of Periodic Orbit Lengths in Finitely Presented Dynamical Systems
by: de Jong, Huub
Published: (2025)

Spatially inhomogeneous two-cycles in an integrodifference equation
by: Church, Kevin, et al.
Published: (2025)

A Periodic Orbit Trace Formula for Quantum Scrambling: The Role of the Normally Hyperbolic Invariant Manifold
by: Wiggins, Stephen
Published: (2026)

Stoichiometric recipes for periodic oscillations in reaction networks
by: Blokhuis, Alexander, et al.
Published: (2025)

Global Dynamics and Time-Optimal Control Studies for Additional Food provided Holling Type-III Mutually Interfering Prey-Predator Systems with Applications to Pest Management
by: Prakash, D Bhanu, et al.
Published: (2024)

Global Linearization of Parameterized Nonlinear Systems with Stable Equilibrium Point Using the Koopman Operator
by: Katayama, Natsuki, et al.
Published: (2026)

Circadian Clock Model with Sequestration Repression Motif: Existence of Periodic Orbits and Entrainment Properties
by: Böbel, Benjamin, et al.
Published: (2025)

Modeling Predator-Prey Dynamics with Stochastic Differential Equations: Patterns of Collective Hunting and Nonlinear Predation Effects
by: Qi, Junyi, et al.
Published: (2025)

Local and Global Bifurcation for Periodic Solutions of Hamiltonian Systems via Comparison Theory for the Spectral Flow
by: Janczewska, Joanna, et al.
Published: (2024)

Locating Extremal Periodic Orbits for the Planar Circular Restricted Three Body Problem using Polynomial Sum-of-Squares Optimization
by: Sharma, Vinay, et al.
Published: (2025)

Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem
by: Brown, Gavin M., et al.
Published: (2024)

Cubic Polynomial Maps with Periodic Critical Orbit, Part III: Tessellations and Orbit Portraits
by: Bonifant, Araceli, et al.
Published: (2025)

Invariant Tori and Periodic Orbits in the FitzHugh-Nagumo System
by: Cândido, Murilo R., et al.
Published: (2024)

Dynamics of a Predator-Prey Model with Allee Effect and Interspecific Competition
by: Peng, Lina, et al.
Published: (2026)

Time-Spectral Resolvent Analysis For Periodic Dynamical Systems
by: Howell, Max, et al.
Published: (2026)

Predator-prey models: a review on some recent adaptations
by: Diz-Pita, Érika, et al.
Published: (2025)

Bifurcation Analysis of a Predator-Prey Model with Allee Effect and Cooperative Hunting
by: Gao, Yujie, et al.
Published: (2026)

Stochastic Periodic Solutions for Newtonian Systems via Lyapunov Function
by: Duan, Junxia, et al.
Published: (2025)

Periodic Shadowing for Set-Valued Maps
by: Oliveira, M.
Published: (2026)

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