Xie ZK, Fan WC, Wang QA (2000c) 'Comparative studies on catastrophe dynamics of ignition phenomena chloride catalyst - Part III.' (Chemical Industry Press: Beijing) 800-812

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Abstract: Motion happening in system is the visual embodiment of dynamical evolution of the nonlinear system. The global topological structures of system dynamics include all of the possible states or behaviors of a system. System state changing is a result that the "old" local dynamical structure is collapsed and moves to the "new" local dynamical structure. Catastrophe is the most commonly evolution mechanism to trigger systematic structural destabilization when the state of system changes discontinuous. An ignition and quenching behavior of combustion system is also typical discontinuous phenomena. It has important significance to realize the ignition laws of combustion system bq means of the catastrophe set, catastrophe mode and the acting relationship between the controllable factors and the catastrophe mode. Under the hypothesis condition of intensive mixing, the ignition behavior of the firebox combustion system also has the cusp catastrophe mechanism, and therefore being of some features own by cusp catastrophe, such as having two stead stationary states and one unsteady stationary state in the system, and kicking, hysteretic, bimodal, inaccessibility and divergence. Cusp catastrophe is one of the commonly catastrophe models widely existing in ignition system. Many other ignition systems, which their performance curve appears "S" shape, the states of the system being of two steady stationary states and one unsteady stationary state, and the motion of system have kicking, jumping, hysteretic, bimodal, inaccessibility and divergence characteristics, etc., may be topological equivalently classified as cusp catastrophe.