A new chaotic criterion and its structural stability in Banach space

DOI10.1016/J.JMAA.2024.128831MaRDI QIDQ6635223

Could not fetch data.

Publication date: 9 November 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

structural stabilitydiscrete dynamical systemsheteroclinic cycleschaotic criterion

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Recent development of chaos theory in topological dynamics
• Discrete chaos induced by heteroclinic cycles connecting repellers in Banach spaces
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• On the existence of heteroclinic cycles in some class of 3-dimensional piecewise affine systems with two switching planes
• Chaos of discrete dynamical systems in complete metric spaces
• Heteroclinic cycles imply chaos and are structurally stable
• The \(C^1\) persistence of heteroclinic repellers in \(\mathbb{R}^n\)
• Heteroclinic cycles and chaos in a class of 3D three-zone piecewise affine systems
• Chaos induced by heteroclinic cycles connecting repellers in complete metric spaces
• Discrete chaos in Banach spaces
• Chaotic dynamics of discrete multiple-time delayed neural networks of ring architecture evoked by external inputs
• THE PERSISTENCE OF SNAP-BACK REPELLER UNDER SMALL C¹ PERTURBATIONS IN BANACH SPACES
• HETEROCLINICAL REPELLERS IMPLY CHAOS
• Chaos and topological entropy in dimension n>1
• Period Three Implies Chaos
• Chaotic Dynamics in Four-Dimensional Piecewise Affine Systems with Bifocal Heteroclinic Cycles
• Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span
• ANALYZING DISPLACEMENT TERM'S MEMORY EFFECT IN A VAN DER POL TYPE BOUNDARY CONDITION TO PROVE CHAOTIC VIBRATION OF THE WAVE EQUATION
• Chaos Induced by Heteroclinic Cycles Connecting Repellers for First-Order Partial Difference Equations
• The General Chinese Remainder Theorem

This page was built for publication: A new chaotic criterion and its structural stability in Banach space

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6635223)