Sun, Mei; Tian, Lixin; Fu, Ying An energy resources demand-supply system and its dynamical analysis. (English) Zbl 1133.91524 Chaos Solitons Fractals 32, No. 1, 168-180 (2007). Summary: This paper establishes a new energy resources demand-supply system for two regions of China. The dynamics behavior of this system is also analyzed. Lyapunov exponents and homoclinic orbits of this system can be obtained. The energy resources demand-supply system is chaotic by analytically demonstration and Lyapunov exponents, which displays a two-layer attractor. Cited in 1 ReviewCited in 19 Documents MSC: 91B76 Environmental economics (natural resource models, harvesting, pollution, etc.) 37N40 Dynamical systems in optimization and economics PDF BibTeX XML Cite \textit{M. Sun} et al., Chaos Solitons Fractals 32, No. 1, 168--180 (2007; Zbl 1133.91524) Full Text: DOI References: [1] Gevorgian, V.; Kaiser, M., Fuel distribution and consumption simulation in the republic of armenia, Simulation, 9, 154-167, (1998) [2] Shiying, D., Energy demand projections based on an uncertain dynamic system modeling approach, Energy sources, 7, 443-451, (2000) [3] Fu, Y.; Tian, L., Statistical verifying estimation and application of logistic model in the forecast of energy consuming in JiangSu province, J JiangSu univ, 13, 17-19, (2001) [4] Chen, G.; Dong, X., From chaos to order: methodologies, perspectives and applications, (1998), Singapore World Scientific [5] Lorenz, E.N., Deterministic nonperiodic flow, J atmos sci, 20, 130-141, (1963) · Zbl 1417.37129 [6] Lü, J.; Chen, G., A new chaotic attractor coined, Int J bifurc chaos, 12, 659-661, (2002) · Zbl 1063.34510 [7] Lü, J.; Chen, G.; Zhang, S., The compound structure of a new chaotic attractor, Chaos, solitons & fractals, 14, 669-672, (2002) · Zbl 1067.37042 [8] Li, T.C.; Chen, G.; Tang, Y., On stability and bifurcation of chen’s system, Chaos, solitons & fractals, 19, 1269-1282, (2004) · Zbl 1069.34060 [9] Chang, Y.; Chen, G., Complex dynamics in Chen system, Chaos, solitons & fractals, 27, 75-86, (2006) · Zbl 1083.37033 [10] Agiza, H.N.; Yassen, M.T., Synchronization of Rössler and Chen chaotic dynamical systems using active control, Phys lett A, 278, 191-197, (2001) · Zbl 0972.37019 [11] Ueta, T.; Chen, G., Bifurcation analysis of Chen equation, Int J bifurc chaos, 10, 1917-1931, (2000) · Zbl 1090.37531 [12] Yassen, M.T., Chaos control of Chen chaotic dynamical system, Chaos, solitons & fractals, 15, 271-283, (2003) · Zbl 1038.37029 [13] Zhou, T.S.; Chen, G.; Tang, Y., Chen attractor exists, Int J bifurc chaos, 14, 3167-3178, (2004) [14] Liu, W.; Chen, G., A new chaotic system and its generation, Int J bifurc chaos, 13, 261-267, (2003) · Zbl 1078.37504 [15] Lü, J.; Chen, G.; Zhang, S., Dynamical analysis of a new chaotic attractor, Int J bifurc chaos, 12, 1001-1015, (2002) · Zbl 1044.37021 [16] Arneodo, A.; Coullet, P.; Tresser, C., A possible new mechanism for the onset of turbulence, Phys lett A, 81A, 197-201, (1981) [17] Silva, C., S̆ilnikov theorem-a tutorial, IEEE trans circ syst I, 40, 10, 675-682, (1993) · Zbl 0850.93352 [18] Zhou, T., Constructing a new chaotic system based on the S̆ilnikov criterion, Chaos, solitons & fractals, 19, 985-993, (2004) · Zbl 1053.37015 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.