Provides an excellent and timely snapshot of the state of the field by many prominent researchers

Presents research by leading scientists working in nonlinear, chaotic, and fractional dynamics

Offers a state-of-the art overview of cutting-edge research on selected topics in the field

Includes fundamental and applied research

Edited and authored by leading researchers

Employs a self-contained and tutorial style

Autorentext

Miguel A.F. Sanjuan is a full professor of physics at the Universidad Rey Juan Carlos in Madrid, Spain, where he founded the Physics Department in 2006. He is a corresponding member of the Spanish Royal Academy of Sciences, physics and chemistry section, a foreign member of the Lithuanian Academy of Sciences in the areas of physics and mechanical engineering, and an ordinary member of the Academia Europaea, section of physics and engineering sciences. Prof. Sanjuan is presently the head of the Nonlinear Dynamics, Chaos and Complex Systems Research Group at the Universidad Rey Juan Carlos.

In addition, he is co-author of the Springer monograph Nonlinear Resonances and Predictability of Chaotic Dynamics. A finite-time Lyapunov exponents approach.

Mark Edelman is an associate professor of physics at Stern College, Yeshiva University, where he has been teaching since 2009. Prior to this appointment for 16 years he worked as a researcher at Courant Institute, NYU. He is one of the world leading experts in fractional dynamics.

Elbert E. N. Macau is Professor at Brazilian National Institute for Space Research (INPE) and at Sao Paulo Federal University (UNIFESP). He is one of the world leading experts in exploiting Nonlinear Dynamics approaches in Orbital Dynamics and Space Technology.

Klappentext

The book presents nonlinear, chaotic and fractional dynamics, complex systems and networks, together with cutting-edge research on related topics.

The fifteen chapters - written by leading scientists working in the areas of nonlinear, chaotic, and fractional dynamics, as well as complex systems and networks - offer an extensive overview of cutting-edge research on a range of topics, including fundamental and applied research. These include but are not limited to, aspects of synchronization in complex dynamical systems, universality features in systems with specific fractional dynamics, and chaotic scattering.

As such, the book provides an excellent and timely snapshot of the current state of research, blending the insights and experiences of many prominent researchers.

Inhalt

preliminary: 1. Lev Ostrovsky: Dynamics of particles and bubbles under the action of acoustic radiation force.- 2. Tomasz Kapitaniak:Synchronous states in the network of Kuramoto systems with excitation.- 3. Jose Antonio Tenreiro Machado.- 4. Mark Eldelman: Universality in systems with power-law memory and fractional dynamics.- 5. Miguel A. F. Sanjuan: Basin Entropy and the uncertainty in the chaotic scattering of cold atoms.- 6. Albert Luo.- 7. Christian Bick.- 8. Jason Gallas.- 9. Jose Mario Martinez.- 10. Lea Santos: Nonequilibrium dynamics of isolated many-body quantum systems.- 11. Luis FC Alberto.- 12. Marcelo G. Ramirez Avila: Fireflies: a paradigm in synchronization.- 13. Mike Field: Heteroclinic networks and patterns of synchronization in identical coupled cell systems.- 14. Luis Antonio Aguirre.- 15. José Mário Vicensi Grzybowski.