Mathematics – Dynamical Systems
Scientific paper
Aug 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986rpph...49..873n&link_type=abstract
Reports on Progress in Physics (ISSN 0034-4885), vol. 49, Aug. 1986, p. 873-949. Research supported by the Instituts Internation
Mathematics
Dynamical Systems
8
Asymptotic Properties, Chaos, Dynamical Systems, Environment Effects, Nonlinear Systems, Stochastic Processes, Systems Stability, Boolean Algebra, Branching (Mathematics), Eigenvalues, Ficks Equation, Hamiltonian Functions, Liouville Equations, Markov Processes, Quantum Mechanics, Schroedinger Equation
Scientific paper
The basic features of dissipative dynamical systems and their impact on the understanding of the natural environment are reviewed. A phenomenological description of dissipative processes is presented in terms of phase space, dynamical systems, and asymptotic stability, and some characteristic differences between conservative and dissipative systems are identified on the basis of this definition. The ability of dissipative dynamical systems to undergo transitions to complex behavior is addressed, surveying some basic techniques such as bifurcation theory with special emphasis on chaotic dynamics. An enlarged description of dissipative dynamical systems is presented in which probabilistic aspects are incorporated in the evolution. The possibility of a unified description of both conservative and dissipative processes is assessed, and some conclusions are drawn on the status and role of irreversible phenomena in the physical sciences.
No associations
LandOfFree
Dissipative systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dissipative systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dissipative systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-895260