In this paper,we define some non-elementary amplitude functions that are giving solutions to some second-order nonlinear ODEs with forcing term and systems of ODEs with chaotic behavior,such as the chaotic cases of th...In this paper,we define some non-elementary amplitude functions that are giving solutions to some second-order nonlinear ODEs with forcing term and systems of ODEs with chaotic behavior,such as the chaotic cases of the Lorenz system.For this purpose,we will introduce a special function,that is a function of the dependent variable ϕ and the independent variable t,and place it into the solution-function.These solutions are equal to the amplitude,or upper limit of integration in a non-elementary integral that can be arbitrary.The first derivative to these amplitude functions contains one or two integrals that disappear at the second derivation or at the third derivation.We are giving the solutions a name,a symbol and putting them into a group of functions and into the context of other functions.Using these integral amplitude functions,we can define solutions to some well-known second-order ODEs and systems of ODEs exhibiting chaotic behavior.展开更多
In the contemporary context of increasingly severe global ecological crises,literary works have gradually emerged as essential media through which humanity reflects on the relationship between the natural environment ...In the contemporary context of increasingly severe global ecological crises,literary works have gradually emerged as essential media through which humanity reflects on the relationship between the natural environment and human civilization.Within this trend,Japanese science fiction has produced a growing body of works that engage with ecological issues.Taking the Japanese science fiction novel The Palace of the Flower Dragons as a case study,this paper employs the theoretical framework of ecocriticism to examine the text across three dimensions-natural,social,and spiritual ecology.It investigates how the novel uses apocalyptic narrative strategies to explore the human-nature relationship and to articulate an ecological ethic of coexistence grounded in a non-anthropocentric worldview,thereby offering meaningful literary reference points for addressing real-world environmental crises.展开更多
文摘In this paper,we define some non-elementary amplitude functions that are giving solutions to some second-order nonlinear ODEs with forcing term and systems of ODEs with chaotic behavior,such as the chaotic cases of the Lorenz system.For this purpose,we will introduce a special function,that is a function of the dependent variable ϕ and the independent variable t,and place it into the solution-function.These solutions are equal to the amplitude,or upper limit of integration in a non-elementary integral that can be arbitrary.The first derivative to these amplitude functions contains one or two integrals that disappear at the second derivation or at the third derivation.We are giving the solutions a name,a symbol and putting them into a group of functions and into the context of other functions.Using these integral amplitude functions,we can define solutions to some well-known second-order ODEs and systems of ODEs exhibiting chaotic behavior.
基金supported by the foundation of SFLEP National University Foreign Language Teaching Research Project(No.2019SH0039B)the Ministry of Education Industry-Academy Cooperation Collaborative Education Project(No.2408212240).
文摘In the contemporary context of increasingly severe global ecological crises,literary works have gradually emerged as essential media through which humanity reflects on the relationship between the natural environment and human civilization.Within this trend,Japanese science fiction has produced a growing body of works that engage with ecological issues.Taking the Japanese science fiction novel The Palace of the Flower Dragons as a case study,this paper employs the theoretical framework of ecocriticism to examine the text across three dimensions-natural,social,and spiritual ecology.It investigates how the novel uses apocalyptic narrative strategies to explore the human-nature relationship and to articulate an ecological ethic of coexistence grounded in a non-anthropocentric worldview,thereby offering meaningful literary reference points for addressing real-world environmental crises.
