Quasiperiodicity in a detailed model of the peroxidase-oxidase reactionMultiple time scale analysis of two models for the peroxidase-oxidase reaction Chaos 5, 448 (1995); 10.1063/1.166116The quasiperiodic route to chaos in a model of the peroxidase-oxidase reaction J. Chem. Phys. 94, 1388 (1991); 10.1063/1.459996 Bistability in chemical reaction networks: Theory and application to the peroxidase-oxidase reactionThe steady and oscillatory states of the Olsen and Degn model for the peroxidase-oxidase oscillator are found. The stability of the steady states is determined, and a bifurcation diagram for the oscillatory regime is found. A complex sequence of mUltiply periodic oscillations is observed and found to follow an orderly pattern when described via the firing number, the number of small oscillations divided by the total number of large and small oscillations per period. A plot of the firing number vs one of the system parameters is found to have a stairstep relationship and it is shown that this stairstep relationship is a complete devil's staircase, an infinite self-similar staircase with chaotic properties and a fractal dimension.
This chapter addresses the voices of Black individuals and their communities urging police officers to be trustworthy and transparent, and urging them to be intentional in building relationships in the Black community. Qualified immunity, fraternal order of police, and law enforcement bill of rights discussions have emerged from recent incidents that add to the Black community's mistrust in the police. This chapter discusses how officers fail to recognize past and current issues where officers are unapologetic, and which, in turn, contributes to making it difficult to see police transparency and legitimacy. The chapter also addresses the partial education officers receive on Black culture and, more importantly, officers' lack of knowledge about cultural humility with self-reflection. Global positive social change and using a conceptual communication framework are the foundation for building and strengthening police relationships in the Black community to improve police strategies.
Delays in the release of police body-worn camera (BWC) video footage have amplified public concerns about police misconduct. People question law enforcement transparency when video from BWCs is not shared with the community in a timely manner. The qualitative case study explores the life experiences of the community and the victims’ family related to delays in the release of police BWC footage. Mettler and Sorelle’s policy feedback theory was used for the study’s theoretical framework. The research questions focus on understanding the lived experiences and perceptions of community relationships with law enforcement around transparency, communication, and information sharing. A qualitative study was used to examine 13 participants to determine which factors influence perceptions of law enforcement by the community and the victim’s family when there is delay in the release of BWC video. In addition, I focused on families who have been directly impacted and members of the community who have been indirectly impacted when police BWC video was delayed. Results show that both the community and the victim’s family members are requesting changes to community policing initiatives for better community engagement and for building positive relationships, trust, transparency, police legitimacy, and communication. This study presents law enforcement and society with insight on how to improve public perceptions.
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