caa a22 4500 445362049 CHVBK 20180317142918.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s11071-010-9917-x doi (NATIONALLICENCE)springer-10.1007/s11071-010-9917-x Van Gorder Robert Department of Mathematics, University of Central Florida, 32816-1364, Orlando, FL, USA aut Emergence of chaotic regimes in the generalized Lorenz canonical form: a competitive modes analysis [Elektronische Daten] [Robert Van Gorder] The recently-developed technique of competitive modes analysis is applied to determine parameter regimes for which the generalized Lorenz canonical form, a system constructed by Celikovsky and Chen, which holds many other chaotic systems (such as the Lorenz system, the Lü system, the Chen system, and the Shimizu-Morioka system), may exhibit chaotic behavior. We verify that the generalized Lorenz canonical form exhibits interesting behaviors in the many parameter regimes thus obtained, thereby demonstrating the great utility of the competitive modes approach in delineating chaotic regimes in multi-parameter systems, where their identification can otherwise involve tedious numerical searches. Springer Science+Business Media B.V., 2010 Generalized Lorenz canonical form nationallicence Competitive modes nationallicence Chaos nationallicence Chaotic regime nationallicence Nonlinear Dynamics Springer Netherlands 66/1-2(2011-10-01), 153-160 0924-090X 66:1-2<153 2011 66 11071 https://doi.org/10.1007/s11071-010-9917-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9917-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Van Gorder Robert Department of Mathematics, University of Central Florida, 32816-1364, Orlando, FL, USA aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 66/1-2(2011-10-01), 153-160 0924-090X 66:1-2<153 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer