so#43387430

controllers.application.js

import Ember from 'ember';

export default Ember.Controller.extend({
  appName: 'Ember Twiddle',
  category: 'my-category',
  location: Ember.computed.oneWay('router.location.path'),
  
  actions: {
    makeTransition() {
      let category = this.get('category');
      this.transitionToRoute('my-route');
    }
  }
});

instance-initializers.routerInjector.js

// app/initializers/component-router-injector.js
export function initialize(application) {
  // Injects all Ember components with a router object:
  application.inject('controller', 'router', 'router:main');
}

export default {
  name: 'router-injector',
  initialize: initialize
};

router.js

import Ember from 'ember';
import config from './config/environment';

const Router = Ember.Router.extend({
  location: 'none',
  rootURL: config.rootURL
});

Router.map(function() {
  this.route('my-route');
  this.route('dynamic-route', { path: '/dynamic-route/:id' });
  this.route('other-route');
});

export default Router;

routes.dynamic-route.js

import Ember from 'ember';

export default Ember.Route.extend({
  queryParams: {
    category: {
      refreshModel: true
    }
  },
  
    model(params) {
    	let category = params.category || "NaN";
      return category + "" + Math.random();
  	}
});

routes.my-route.js

import Ember from 'ember';

export default Ember.Route.extend({
  queryParams: {
    category: {
      refreshModel: true
    }
  },
  
    model(params) {
    	let category = params.category || "NaN";
      return category + "" + Math.random();
  	},
  
  	serializeQueryParam() {
      this._super(...arguments);
    }
});

routes.other-route.js

import Ember from 'ember';

export default Ember.Route.extend({
  queryParams: {
    a: {
    }
  }
});

templates.application.hbs

<h1>Welcome to {{appName}}</h1>
<br>
{{input value=category}}
<button {{action 'makeTransition'}}>Transition to</button>
<br>
{{#link-to "dynamic-route" 1 (query-params category="your-category")}}To dynamic route with static param{{/link-to}}
{{outlet}}
<br>
{{#link-to "my-route" (query-params category=category)}}To my route with controller param{{/link-to}}
<br>
{{#link-to "my-route"}}To my route without param{{/link-to}}
<br>
{{#link-to "my-route" (query-params category="your-category/2")}}To my route with static param{{/link-to}}

<br>
{{#link-to "dynamic-route" 1 (query-params category=category)}}To dynamic route with controller param{{/link-to}}
<br>
{{#link-to "dynamic-route" 1 (query-params)}}To dynamic route without param{{/link-to}}
<br>
{{#link-to "other-route" (query-params a=undefined)}}To other route without param{{/link-to}}
<br>
{{#link-to "other-route" (query-params a='2')}}To other route with param{{/link-to}}
<br>

{{location}}

templates.dynamic-route.hbs

@dynamic-route

<br>
category is : {{model}}

templates.my-route.hbs

@my-route

<br>
category is : {{model}}

twiddle.json

{
  "version": "0.10.7",
  "EmberENV": {
    "FEATURES": {}
  },
  "options": {
    "use_pods": false,
    "enable-testing": false
  },
  "dependencies": {
    "jquery": "https://cdnjs.cloudflare.com/ajax/libs/jquery/1.11.3/jquery.js",
    "ember": "2.10.0",
    "ember-data": "2.10.0",
    "ember-template-compiler": "2.10.0",
    "ember-testing": "2.10.0"
  },
  "addons": {}
}