Results 51 to 60 of about 7,276 (215)

Simultaneous Continuation of Infinitely Many Sinks Near a Quadratic Homoclinic Tangency

, 2008
We prove that the $C^3$ diffeomorphisms on surfaces, exhibiting infinitely many sinksnear the generic unfolding of a quadratic homoclinic tangency of a dissipative saddle, can be perturbed along an infinite dimensional manifold of $C^3$ diffeomorphisms ...
A. Gorodetski, C. Robinson, E. Colli, Eleonora Catsigeras, Heber Enrich, I. Kan, J. A. Yorke, J. Palis, J. Palis, L. Tedeschini-Lalli, M. Hirsch, M. Shub, Marcelo Cerminara, S. Newhouse, S. Newhouse, S. Newhouse, S. Smale, W. de Melo   +17 more
core   +3 more sources

Sustained resonance: a binary system perturbed by gravitational radiation [PDF]

, 1999
The general phenomena associated with sustained resonance are studied in this paper in connection with relativistic binary pulsars. We represent such a system by two point masses in a Keplerian binary system that evolves via gravitational radiation ...
Chicone, C., Mashhoon, B., Retzloff, D. G.   +2 more
core   +3 more sources

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

Bifurcation Analysis of Nonlinear Oscillations in the Electrical Activity of Pancreatic β‐Cells

PAMM, Volume 25, Issue 4, December 2025.
ABSTRACT Cell biological systems are characterized by complex relationships and nonlinear processes. The modeling of these processes improves the understanding, and represents a significant enrichment of the experimental investigation. An example of such a system is the regulation of blood glucose concentration by pancreatic β$\beta$‐cells through the ...
Paula Clasen, Lars de Jong, Michael Müller   +2 more
wiley   +1 more source

Robustly expansive homoclinic classes are generically hyperbolic

Discrete & Continuous Dynamical Systems - A, 2009
Let $f: M \to M$ be a diffeomorphism defined in a $d$-dimensional compact boundary-less manifold $M$. We prove that generically $C^1$-robustly expansive homoclinic classes $H(p)$, $p$ an $f$-hyperbolic periodic point, are hyperbolic.
Martín Sambarino, José L. Vieitez
openaire   +1 more source

Tame dynamics and robust transitivity chain-recurrence classes versus homoclinic classes [PDF]

Transactions of the American Mathematical Society, 2014
In the context of hyperbolic diffeomorphisms, Smale's result on spectral decomposition shows that the global dynamics can be decomposed into a finite number of homoclinic classes. In the set of non-hyperbolic diffeomorphisms such a decomposition into ``pieces'' is not fulfilled. \textit{C.
Bonatti, C., Crovisier, S., Gourmelon, N., Potrie, R.   +3 more
openaire   +2 more sources

Action functional as an early warning indicator in the space of probability measures via Schrödinger bridge

Quantitative Biology, Volume 13, Issue 3, September 2025.
Abstract Critical transitions and tipping phenomena between two meta‐stable states in stochastic dynamical systems are a scientific issue. In this work, we expand the methodology of identifying the most probable transition pathway between two meta‐stable states with Onsager–Machlup action functional, to investigate the evolutionary transition dynamics ...
Peng Zhang, Ting Gao, Jin Guo, Jinqiao Duan   +3 more
wiley   +1 more source

Existence and concentration of homoclinic orbits for first order Hamiltonian systems

Communications in Analysis and Mechanics
This paper is concerned with the following first-order Hamiltonian system $ \begin{equation} \nonumber \dot{z} = \mathscr{J}H_{z}(t, z), \end{equation} $ where the Hamiltonian function $ H(t, z) = \frac{1}{2}Lz\cdot z+A(\epsilon t)G(|z|) $ and ...
Tianfang Wang, Wen Zhang
doaj   +1 more source

Smooth and non-smooth traveling wave solutions of some generalized Camassa-Holm equations

, 2013
In this paper we employ two recent analytical approaches to investigate the possible classes of traveling wave solutions of some members of a recently-derived integrable family of generalized Camassa-Holm (GCH) equations.
Choudhury, S. Roy, Gambino, G., Rehman, T.   +2 more
core   +1 more source

The ergodic shadowing property and homoclinic classes [PDF]

Journal of Inequalities and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources