THE EFFECT OF WEAK DISSIPATION IN TWO-DIMENSIONAL MAPPING

DOI10.1142/S0218127412502483zbMath1258.37052DBLPjournals/ijbc/OliveiraL12OpenAlexW2102589019WikidataQ58840672 ScholiaQ58840672MaRDI QIDQ4907059

Edson D. Leonel, Juliano A. de Oliveira

Publication date: 1 March 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127412502483

zbMATH Keywords

dissipationbasin of attractionattracting fixed point

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (6)

On the dynamics of two-dimensional dissipative discontinuous maps ⋮ Weak dissipative effects on trajectories from the edge of basins of attraction ⋮ Hierarchical collapse of regular islands via dissipation ⋮ Transient Chaos, Hyperchaotic Dynamics, and Transport Properties in a Bailout Embedding Web Map ⋮ A family of dissipative two-dimensional mappings: chaotic, regular and steady state dynamics investigation ⋮ Multistability and transition to chaos in the degenerate Hamiltonian system with weak nonlinear dissipative perturbation

Cites Work

• Four-dimensional mapping model for two-frequency electron cyclotron resonance heating
• Analytical calculation of invariant distributions on strange attractors
• Dynamical localization and signatures of classical phase space
• Chaos, fractional kinetics, and anomalous transport
• Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors
• Evidence of chaos in eco-epidemic models
• New model for dissipation in quantum mechanics
• Evaluation of the smoothed interference pattern under conditions of ray chaos
• Consequences of Quadratic Frictional Force on the One Dimensional Bouncing Ball Model
• Effect of a frictional force on the Fermi–Ulam model

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