On the boundaries of absorbing and chaotic areas in second-order endomorphisms
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Publication:4344875
DOI10.1016/S0362-546X(97)84519-1zbMath0906.58018MaRDI QIDQ4344875
Publication date: 17 July 1997
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
critical curveboundary curvenoninvertible maptwo-dimensional discrete dynamical systemminimal absorbing areaorder and level of an absorbing area
Topological dynamics (37B99) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items (3)
ABOUT A NEW CLASS OF INVARIANT AREAS GENERATED BY TWO-DIMENSIONAL ENDOMORPHISMS ⋮ FRACTALIZATION OF BASIN BOUNDARY IN TWO-DIMENSIONAL NONINVERTIBLE MAPS ⋮ ON CRITICAL CURVES IN TWO-DIMENSIONAL ENDOMORPHISMS
Cites Work
- Sur certaines zones absorbantes et zones chaotiques d'un endomorphisme bidimensionnel. (On certain absorptive areas and chaotic areas of a two- dimensional endomorphism)
- Sur certaines zones chaotiques. (Some chaotic areas)
- The dynamics of density dependent population models
- Snap-back repellers imply chaos in \(\mathbb{R}^n\)
- Noninvertibility and the structure of basins of attraction in a model adaptive control system
- Quelques propriétés des lignes critiques d'une récurrence du second ordre à inverse non unique. Détermination d'une zone absorbante
- Snap-back repellers and chaos in a discrete population model with delayed recruitment
- Multiconnected chaotic areas in second-order endomorphisms
- Periodic solutions and chaos in a delay-differential equation modelling haematopoesis
- Complex dynamics in two-dimensional endomorphisms
- Some global bifurcations of two-dimensional endomorphisms by use of critical lines
- BASIN BIFURCATIONS OF TWO-DIMENSIONAL NONINVERTIBLE MAPS: FRACTALIZATION OF BASINS
- ON BEHAVIORS OF TWO-DIMENSIONAL ENDOMORPHISMS: ROLE OF THE CRITICAL CURVES
- EXTENSIONS OF THE NOTION OF CHAOTIC AREA IN SECOND-ORDER ENDOMORPHISMS
- Annular chaotic areas
- Bifurcations occurring in absorptive and chaotic areas
- Absorptive area and chaotic area in two- dimensional endomorphisms
- Simple mathematical models with very complicated dynamics
- Differentiable dynamical systems
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