Special Issue

International Journal of Bifurcation and Chaos

Special issue on Complex Systems (forthcoming 2011)

15 articles, among them those of O.Rossler, J. Yorke, C. Grebogi, ... .

Editors : Aziz-Alaoui M.A., Bertelle C. and Liu X


M.A. Aziz-Alaoui LMAH, University of Le Havre, aziz.alaoui@univ-lehavre.fr

Cyrille Bertelle LITIS, University of Le Havre, cyrille.bertelle@univ-lehavre.fr

AND

Xinzhi Liu Department of Applied Mathematics, University of Waterloo, Ontario, Canada xzliu@uwaterloo.ca


Abstract :

This special issue has put together a unique collection of articles written by leading researchers and experts around the globe on recent advances in complex systems and applications in various fields of science and engineering. This special issue has a broad interest. It focuses not only on equation-based modeling of eco- or bio-systems analysis but also on the study of eco- or bio-complexity and global emergent properties and self-organization, which result from various interactions. While twenty years ago complex dynamics in such a wide variety of systems was somewhat a novelty to many of us, it has literally become an indispensable part of our toolkits today. Besides, applications of complex dynamics such as chaos and bifurcations have appeared in many areas of engineering, physics, natural and social sciences. The novelty of the new science of complexity is not so much a challenge to formalization of phenomena that each of these sciences of disciplines had found and revealed with its own techniques and with its specific language, but address original trans-disciplinary positioning that connects directly phenomena of different nature. We have to highlight for example, that transition scales characterizing complex systems are mainly independent of the nature of observed objects and systems. The science of complexity is no more a specific tool for a specific disciplinary but it transcends disciplines and is enriched by multidisciplinary. All these have led to a remarkable change in the way mathematicians, computer scientists, engineers and other scientists interact with dynamics in nonlinear systems. It is then necessary to establish dialogues between the model and the modeled object, between the modeler and the specialist of the phenomenon. It is a classic and indispensable step in any modeling activity. When it comes to understanding the complexity of phenomena, it is the transfer of scales between micro and macro, between particles and laws, between individuals and societies that needs to describe with meaning. Computer modeling can now go to scale complex simulations where thousands or millions of particles, neurons or individuals interact. As we understood, it is ultimately not the nature of objects that are sources of essential dynamics but their interaction. It must then abstracting these interaction systems, networks or dynamic graphs while allowing the theoretician (the informed observer of the specific system) manages to express his knowledge through the network or system interaction. The richness of multidisciplinary approaches through the science of complexity is the major aspect of our special issue contribution. We hope that this special issue will provide an important impetus to further promote and develop the cutting-edge research on complexity, chaos, bifurcation and stability in mathematical and computational modeling of ecological, biological and environmental systems and more generally interaction-based systems.


Keywords: Complex Systems, Complex Networks, Self-Organization, Emergence, Dynamical Systems, Chaos, Synchronization ...


Contents of the special issue :

0- Focus on the special issue, Aziz-Alaoui M.A., Bertelle C. and Liu X, International Journal of Bifurcation and Chaos xx, yy- zz.

1- Rossler, O. [2011] Hun Tun versus Big Bang: How Classical Chaos Implies both Thermodynamics and Cryodynamics, International Journal of Bifurcation and Chaos xx, yy- zz.

2- Baptista, M.S., de Carvalho, J.X., Hussein, M.S. & Grebogi, C. [2011] Active Networks that Maximize the Amount of Information Transmission, International Journal of Bifurcation and Chaos xx, yy- zz.

3- Sander, E. & Yorke J.A. [2011] Connecting Period-doubling Cascades to Chaos , International Journal of Bifurcation and Chaos xx, yy- zz.

4- Lozi, R. [2011] Emergence of Randomness from Chaos , International Journal of Bifurcation and Chaos xx, yy- zz.

5- Martinez, G.J., Adamatzky, A. & Alonso-Sanz, R. [2011] Complex Dynamics of Elementary Cellular Automata Emerging from Chaotic Rules , International Journal of Bifurcation and Chaos xx, yy- zz.

6- Wang, H., He, K., Li, B. & Lu, J. [2011] On Some Recent Advances in Complex Software Networks: Modeling, analysis, Evolution and Applications , International Journal of Bifurcation and Chaos xx, yy- zz.

7- Corson, N., Aziz-Alaoui, M., Ghnemat, R., Balev, S. & Bertelle, C. [2011] Modelling the Dynamics of Complex Interaction Systems: from Morphogenesis to Control , International Journal of Bifurcation and Chaos xx, yy- zz.

8- Vidal, A. & Fran ╠žoise, J.-P. [2011] Canard Cycles in Global Dynamics , International Journal of Bifurcation and Chaos xx, yy- zz.

9- Marwan, N., Beller, G., Felsenberg, D., Saparin, P. & Kurths, J. [2011] Quantifying Changes in the Spatial Structure of Trabecular Bone , International Journal of Bifurcation and Chaos xx, yy- zz.

10- Demongeot, J., Gaudart, J., Lontos, A., Mintsa, J., Promayon, E. & Rachdi, M. [2011] Zero-diffusion Domains in Reaction-diffusion Morphogenetic & Epidemiologic Processes , International Journal of Bifurcation and Chaos xx, yy- zz.

11- Doanh, N.N., Tri, N.-H. & Auger P. [2011] Effects of Refuges and Density Dependent Dispersal on Inter- specific Competition Dynamics , International Journal of Bifurcation and Chaos xx, yy- zz.

12- Naeck, R., Bounoiare, D., Freitas, U.S., Rabarimanantsoa, H., Portmann, A., Portier, F., Cuvelier, A., Muir, J.-F. & Letellier, C. [2011] Dynamics underlying patient-ventilator interactions during nocturnal noninvasive ventilation , International Journal of Bifurcation and Chaos xx, yy- zz.

13- Zhang, C., Liu, X. & He, J. [2011] Robust Sensor Fault reconstruction for Nonlinear Systems Using Observers , International Journal of Bifurcation and Chaos xx, yy- zz.

14- Wagemakers, A., Zambrano, S. & Sanjuan, M.A.F. [2011] Partial Control of Transient Chaos in Electronic Circuits , International Journal of Bifurcation and Chaos xx, yy- zz.

15- Liu, X. Shen X. (Sherman) & Zhang, H [2011] Multi-scroll Chaotic and Hyperchaotic Attractors Generated from Chen System , International Journal of Bifurcation and Chaos xx, yy- zz.



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