2018
DOI: 10.1108/ijesm-06-2017-0007
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Oscillation phenomenon and its mechanism of an energy-saving and emission-reduction system

Abstract: Purpose This paper aims to study the oscillation phenomenon before chaos as well as its mechanism of occurrence in the energy-saving and emission-reduction system. Design/methodology/approach The system dynamics analysis, phase portrait analyses, equilibrium point analysis and bifurcation curve were applied to this paper. Findings First, the authors find an oscillation phenomenon previous to chaos. Second, on the one hand, the existence of two unstable saddles is the reason for the occurrence of oscillatio… Show more

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Cited by 3 publications
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“…They used synchronization theory as the regulation theory for regional coordinated development to research the system. Based on previous findings (Chen & Liu, ; Fang et al, 2017a, ; Feng, Sun, & Zhang, ; Huang et al, ; Liao, ; Niu et al, ; Ozturk & Acaravic, ; Pao & Tsai, ; Yang, Zhang, & Zhang, ; Yin et al, ), Fang et al () proposed a mathematical model of the energy‐saving and emission‐reduction system as follows, which includes energy‐saving and emission‐reduction, carbon emissions, and economic growth, and studied the chaos of the system. rightdxdtcenter=lefta1xtrue(yM1)a2y+a3za4x,rightdydtcenter=leftb1x+b2ytrue(1yC)+b3ztrue(1zEtrue)b4y,rightdzdtcenter=leftc1xtrue(xN1true)c2yc3zc4z. where x(t) is the time‐dependent variable of energy‐saving and emission‐reduction, y(t) the time‐dependent variable of carbon emissions, and z(t) the time‐dependent variable of economic growth; ai,bi,ci (i=1,2,3,4),M,C,E,N are positive constants; …”
Section: Introductionmentioning
confidence: 99%
“…They used synchronization theory as the regulation theory for regional coordinated development to research the system. Based on previous findings (Chen & Liu, ; Fang et al, 2017a, ; Feng, Sun, & Zhang, ; Huang et al, ; Liao, ; Niu et al, ; Ozturk & Acaravic, ; Pao & Tsai, ; Yang, Zhang, & Zhang, ; Yin et al, ), Fang et al () proposed a mathematical model of the energy‐saving and emission‐reduction system as follows, which includes energy‐saving and emission‐reduction, carbon emissions, and economic growth, and studied the chaos of the system. rightdxdtcenter=lefta1xtrue(yM1)a2y+a3za4x,rightdydtcenter=leftb1x+b2ytrue(1yC)+b3ztrue(1zEtrue)b4y,rightdzdtcenter=leftc1xtrue(xN1true)c2yc3zc4z. where x(t) is the time‐dependent variable of energy‐saving and emission‐reduction, y(t) the time‐dependent variable of carbon emissions, and z(t) the time‐dependent variable of economic growth; ai,bi,ci (i=1,2,3,4),M,C,E,N are positive constants; …”
Section: Introductionmentioning
confidence: 99%