Chaos Induced by Heteroclinic Cycles Connecting Repellers for First-Order Partial Difference Equations

DOI10.1142/S0218127422500596zbMath1489.39010OpenAlexW4221058182WikidataQ114072984 ScholiaQ114072984MaRDI QIDQ5072424

Zongcheng Li, Zhong-Hua Liu

Publication date: 28 April 2022

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127422500596

zbMATH Keywords

chaoschaotificationfirst-order partial difference equationheteroclinic cycle connecting repellers

Mathematics Subject Classification ID

Partial difference equations (39A14) Chaotic behavior of solutions of difference equations (39A33)

Cites Work

• Chaotification of a class of discrete systems based on heteroclinic cycles connecting repellers in Banach spaces
• Exact oscillation regions for a partial difference equation
• Discrete chaos induced by heteroclinic cycles connecting repellers in Banach spaces
• Solvability of boundary value problems for a class of partial difference equations on the combinatorial domain
• Chaos of discrete dynamical systems in complete metric spaces
• Heteroclinic cycles imply chaos and are structurally stable
• Logarithmic difference lemma in several complex variables and partial difference equations
• Chaos induced by heteroclinic cycles connecting repellers in complete metric spaces
• Chaos induced by regular snap-back repellers
• Stability and chaos in 2-D discrete systems
• Discrete chaos in Banach spaces
• Existence of chaos for partial difference equations via tangent and cotangent functions
• Defining Chaos
• HETEROCLINICAL REPELLERS IMPLY CHAOS
• CHAOTIFICATION OF DISCRETE DYNAMICAL SYSTEMS IN BANACH SPACES
• CHAOTIFICATION FOR A CLASS OF FIRST-ORDER PARTIAL DIFFERENCE EQUATIONS
• Period Three Implies Chaos
• FEEDBACK CONTROL OF LYAPUNOV EXPONENTS FOR DISCRETE-TIME DYNAMICAL SYSTEMS
• ON SPATIAL PERIODIC ORBITS AND SPATIAL CHAOS
• Chaotic Dynamics of Partial Difference Equations with Polynomial Maps
• The Structural Stability of Maps with Heteroclinic Repellers
• Chaotification of First-Order Partial Difference Equations
• Chaotification schemes of first-order partial difference equations via sine functions
• Anti-Control of Chaos for First-Order Partial Difference Equations via Sine and Cosine Functions
• Chaos in first-order partial difference equations†
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos
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