Recent Improvements in the Theory of Chaotic Attractors (eBook, PDF)

Redaktion: Lozi, René; Pluhácek, Michal; Efremova, Lyudmila

• Format: PDF

Produktbeschreibung

This book presents some exceptional developments in chaotic attractor theory encompassing several new directions of research such as three-dimensional axiom A-diffeomorphisms, Shilnikov attractors, dendrites and finite graphs. The chapters in this book were originally published in Journal of Difference Equations and Applications.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 256
• Erscheinungstermin: 19. Februar 2025
• Englisch
• ISBN-13: 9781040309674
• Artikelnr.: 72536775

Autorenporträt

René Lozi is Emeritus Professor at University Cote d'Azur, France and Vice-President of the International Society of Difference Equations. His research areas include complexity and emergence theory, dynamical systems, bifurcations, control of chaos, cryptography based on chaos, and memristors Lyudmila Efremova is Professor at Nizhny Novgorod State University and Moscow Institute of Physics and Technology, Russia. Her scientific interests include regular and chaotic properties of low-dimensional discrete dynamical systems. Michal Pluhá¿ek is Associate Professor at Tomas Bata University in Zlin. His research focus includes theory and applications of evolutionary computation, swarm intelligence, swarm robotics, and artificial intelligence in general.

Inhaltsangabe

Introduction: Recent Improvements in the Theory of Chaotic Attractors 1.
On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear
maps 2. Right fractional calculus to inverse-time chaotic maps and
asymptotic stability analysis 3. Search for invariant sets of the
generalized tent map 4. On Shilnikov attractors of three-dimensional flows
and maps 5. Chaotic attractors of discrete dynamical systems used in the
core of evolutionary algorithms: state of art and perspectives 6. Chaos in
popular metaheuristic optimizers - a bibliographic analysis 7. Ramified
continua as global attractors of C1-smooth self-maps of a cylinder close to
skew products 8. Dynamics of three-dimensional A-diffeomorphisms with
two-dimensional attractors and repellers 9. Chaotic behaviour of countable
products of homeomorphism groups 10. Remarks on minimal sets on dendrites
and finite graphs 11. Recurrence and nonwandering sets of local dendrite
maps 12. Diffeomorphisms with infinitely many Smale horseshoes